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Gibbs measures on Brownian currents

hal.structure.identifier
dc.contributor.authorLorinczi, József*
hal.structure.identifier
dc.contributor.authorGubinelli, Massimiliano*
dc.date.accessioned2009-09-30T12:08:19Z
dc.date.available2009-09-30T12:08:19Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/2038
dc.language.isoenen
dc.subjectMathematical Physicsen
dc.subject.ddc519en
dc.titleGibbs measures on Brownian currentsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherLoughborough University, School of Mathematics;Royaume-Uni
dc.contributor.editoruniversityotherUniversité Paris-Sud 11;France
dc.description.abstractenMotivated by applications to quantum field theory we consider Gibbs measures for which the reference measure is Wiener measure and the interaction is given by a double stochastic integral and a pinning external potential. In order properly to characterize these measures through DLR equations, we are led to lift Wiener measure and other objects to a space of configurations where the basic observables are not only the position of the particle at all times but also the work done by test vector fields. We prove existence and basic properties of such Gibbs measures in the small coupling regime by means of cluster expansion.en
dc.relation.isversionofjnlnameCommunications on Pure and Applied Mathematics
dc.relation.isversionofjnlvol62en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2009
dc.relation.isversionofjnlpages1-56en
dc.relation.isversionofdoihttp://dx.doi.org/10.1002/cpa.20260en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherWiley Periodicals, Inc.en
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
hal.author.functionaut
hal.author.functionaut


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